Z-P-S空间中定点紧压缩概率算子的不动点定理

Several theorems of constant point compact contractive probabilistic operator in Z-P-S space

概率度量空间中不动点问题的研究是非线性算子问题研究的重要组成部分。在Z-P-S空间中引入定点紧压缩概率算子的概念,利用拓扑度的同伦不变性和可解性,对Z-P-S空间中定点紧压缩概率算子的不动点问题作了研究,给出了一些重要结论。

The fixed point on Probabitily-Meaurnast（PM）-space is an important part of study of nonlinear operators.New concepts of the constant point compact contractive probabilistic operator are introduced and the fixed point problems of these operators are studied in Z-P-S space.Several important conclusions are obtained.